Problem Solving With Venn Diagrams

In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games.

Find the total number of students in the group In a college, 60 students enrolled in chemistry,40 in physics, 30 in biology, 15 in chemistry and physics,10 in physics and biology, 5 in biology and chemistry. Find how many are enrolled in at least one of the subjects.

When he asked how many had been to Punta de las Cuevas, four children raised their hands.

When he asked how many had been to Salt Bay, three raised their hands.

Sometimes when I know the correct answer I can work backwards to solve it, but I can't do that with this problem. This sort of problem is often solved using a Venn diagram.

You can read about them at these locations: Wolfram Mathworld: Venn Diagram Venn Diagram: Fast Food Restaurants here's another way to organize the data you have and solve the problem. We're told that 3 students belong to both clubs: photography ~photography ------------ ------------ computer | 3 | | ------------ ------------ ~computer | | | ------------ ------------ Now, if 12 students belong to the computer club, and we've already accounted for 3 of them, there must be 9 who are in the computer club, but NOT the photography club, right?Puzzles involving two or three properties of people or objects, commonly solved by Venn diagrams, are popular with teachers, and perhaps not so popular with students!Several have asked about them recently, leading me to catalog our past answers about them, to find the most useful examples to point to.Let’s look at one more example with two sets, this one using a table rather than a Venn diagram.This is from 2009: Alternate Solution Path to Venn Diagram Problem There are 30 students in a math class. I know that the correct answer (according to the book) is 13. I have either 10 or 7 as my answers, not knowing if the "both club" members are included already in the listed number of members.Twelve belong to the computer club, and eight belong to the photography club. This question is listed in a section introducing proportions.I can't figure out a way to come up with the correct answer or use a proportion to solve it.In a town 85% of the people speak Tamil, 40% speak English and 20% speak Hindi.Also 32% speak Tamil and English, 13% speak Tamil and Hindi and 10% speak English and Hindi, find the percentage of people who can speak all the three languages.An advertising agency finds that, of its 170 clients, 115 use Television, 110 use Radio and 130 use Magazines.Also 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines, 70 use all the three. Find Let T, R and M represent the people who use Television, Radio and Magazines respectively.

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Comments Problem Solving With Venn Diagrams

  • Examples on Venn Diagram - math-only-
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    Relationship in Sets using Venn Diagram Union of Sets using Venn Diagram Intersection of Sets using Venn Diagram Disjoint of Sets using Venn Diagram Difference of Sets using Venn Diagram Examples on Venn Diagram. 8th Grade Math Practice From Examples on Venn Diagram to HOME PAGE…

  • Venn Diagram Examples, Problems and Solutions
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    The best way to explain how the Venn diagram works and what its formulas show is to give 2 or 3 circles Venn diagram examples and problems with solutions. Problem-solving using Venn diagram is a widely used approach in many areas such as statistics, data science, business, set theory, math, logic and etc.…

  • Solving Problems with Venn Diagrams - YouTube
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    This video solves two problems using Venn Diagrams. One with two sets and one with three sets. Complete Video List at…

  • VENN DIAGRAM PROBLEMS AND SOLUTIONS
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    About the topic "Venn diagram problems and solutions" Venn diagram problems and solutions Here, we are going to see, how to solve word problems using Venn diagram. In set language, we can solve many word problems using Venn diagrams and the two formulas given below. Formula 1 nA u B = nA + nB - nA n B…

  • Venn Diagrams Exercises Purplemath
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    Venn diagram word problems generally give you two or three classifications and a bunch of numbers. You then have to use the given information to populate the diagram and figure out the remaining information. For instance Out of forty students, 14 are taking English Composition and 29 are taking Chemistry.…

  • Solving Problems with Venn Diagrams - Creately Blog
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    Though the above diagram may look complicated, it is actually very easy to understand. Although Venn diagrams can look complex when solving business processes understanding of the meaning of the boundaries and what they stand for can simplify the process to a great extent.…

  • IXL Use Venn diagrams to solve problems 7th grade math
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    Improve your math knowledge with free questions in "Use Venn diagrams to solve problems" and thousands of other math skills.…

  • Venn Diagram Word Problems - Online Math Learning
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    Venn diagram word problem Here is an example on how to solve a Venn diagram word problem that involves three intersecting sets. Problem 90 students went to a school carnival. 3 had a hamburger, soft drink and ice-cream. 24 had hamburgers. 5 had a hamburger and a soft drink. 33 had soft drinks. 10 had a soft drink and ice-cream. 38 had ice-cream. 8 had a hamburger and ice-cream.…

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